Hw Classify Conic Sections

The video tutorial covers classifying conic sections by completing the square and identifying them without completing the square. It includes examples of circles, hyperbolas, parabolas, and ellipses, demonstrating how to convert general form equations to standard form. The tutorial also explains how to identify conics using coefficients and provides multiple choice practice questions.

What is the first step in classifying conic sections?

• Identifying the type of conic section

• Completing the square

• Finding the center or vertex

• Comparing coefficients

When completing the square, what should you do after grouping the X's and Y's?

• Add the constant to the left side

• Subtract the constant from both sides

• Move the constant to the other side

• Multiply the constant by the coefficient

In the example of completing the square, what is the center of the circle?

• (1, -2)

• (2, 1)

• (-1, 2)

• (-2, -1)

What type of conic section is identified when A * B is less than zero?

• Ellipse

• Circle

• Parabola

• Hyperbola

How can you identify a circle from its equation without completing the square?

• A is less than B

• A is greater than B

• A * B is zero

• A equals B

What is the result when A * B equals zero in a conic section equation?

• Circle

• Ellipse

• Hyperbola

• Parabola

In the multiple choice section, what is the center of the ellipse?

• (-5, 6)

• (5, -6)

• (6, 5)

• (-6, -5)

What is the radius of a circle if R-squared equals 50?

• 5√2

• √50

• 10

• 5

Which conic section is identified by having only one squared term?

• Ellipse

• Circle

• Hyperbola

• Parabola

What is the vertex of the parabola in the final example?

• (-3, 5)

• (3, -5)

• (-5, 3)

• (5, -3)